Title: Solutions of Maxwell equations for admissible electromagnetic fields, in spaces with simply transitive four-parameter groups of motions Show Chinese title

Title: 允许的电磁场的Maxwell方程组的解，在具有四参数运动群的简单传递的空间中

Abstract: All non-equivalent solutions of vacuum Maxwell equations are found for the case when space-time manifolds admit simply transitive four-parameter groups of motions $G_4(N)$. The potentials of the admissible electromagnetic fields admit the existence of the algebra of motion integrals of the Hamilton-Jacobi and Klein-Gordon-Fock equations which is isomorphic to the algebra of the group operators for the same group $G_4(N)$ Show Chinese abstract

Abstract: 当时空流形容许四参数的单传递运动群时，找到了真空麦克斯韦方程的所有非等价解 $G_4(N)$。 容许的电磁场的势能允许哈密顿-雅可比方程和克莱因-戈登-福克方程的运动积分代数的存在，该代数与相同群的群算子代数同构 $G_4(N)$。